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The image you've uploaded depicts a line graphed on a coordinate plane. To convert this line into the slope-intercept form \(y = mx + b\), we need to determine the slope \(m\) and the y-intercept \(b\).

Based on the graph:
1. **Identifying the slope (\(m\))**: The slope of a line is calculated as the rise over the run between any two points on the line. Selecting two points that the line passes through, such as \((1, -3)\) and \((2, -4)\), we calculate the slope as follows:
\[ m = \frac{\text{change in } y}{\text{change in } x} = \frac{-4 - (-3)}{2 - 1} = \frac{-1}{1} = -1 \]

2. **Identifying the y-intercept (\(b\))**: The y-intercept is the point where the line crosses the y-axis. From the graph, the line crosses the y-axis at \(y = -2\), so \(b = -2\).

Thus, the slope-intercept form of the line is:
\[ y = -x - 2 \]

Would you like more details or help with another question? Here are some related topics you might be interested in:
1. How to graph a line given in slope-intercept form.
2. How to convert an equation from standard form to slope-intercept form.
3. How to find the slope of a line given two points algebraically.
4. How to determine the x-intercept of a line.
5. What happens to the graph of a line if we change the slope or the y-intercept?

**Tip**: When checking the slope by counting the rise over the run on the graph, ensure that you move consistently in one direction (left-to-right or right-to-left) to maintain consistency in sign and magnitude.

Learn how to convert a line from a graph into slope-intercept form y = mx + b. This example calculates the slope from two points and identifies the y-intercept for the final equation y = -x - 2. Ideal for students in Grades 8-10 learning algebra and coordinate geometry.

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